EXISTENCE OF INFINITELY MANY SOLUTIONS FOR FRACTIONAL p-LAPLACIAN EQUATIONS WITH SIGN-CHANGING POTENTIAL

被引：0

作者：

Zhang, Youpei ^{[1
]}

Tang, Xianhua ^{[1
]}

Zhang, Jian ^{[2
,3
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Hunan Univ Commerce, Sch Math & Stat, Changsha 410205, Hunan, Peoples R China

[3] Hunan Univ Commerce, Key Lab Hunan Prov Mobile Business Intelligence, Changsha 410205, Hunan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2017年

关键词：

Fractional p-Laplacian; multiple solutions; variational methods; sign-changing potential; SCHRODINGER-EQUATIONS; MULTIPLE SOLUTIONS; WEAK SOLUTIONS; SEQUENCES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In his article, we prove the existence of infinitely many solutions for the fractional p-Laplacian equation (-Delta)(p)(s)u+ v(x)|u|(p-2)u = f (x, u), x is an element of R-N where s is an element of (0, 1), 2 <= p < infinity. Based on a direct sum decomposition of a space E-S, we investigate the multiplicity of solutions for the fractional p-Laplacian equation in R-N. The potential V is allowed to be sign-changing, and the primitive of the nonlinearity f is of super-p growth near infinity in u and allowed to be sign-changing. Our assumptions are suitable and different from those studied previously.

引用

页数：14

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